billy club vs billystick

billy club and billystick both are nouns.

Word	Noun	Adjective	Verb	Adverb
billy club	Yes	No	No	No
billystick	Yes	No	No	No

As nouns, billy club and billystick are synonyms defined as:

billy club and billystick: a short stout club used primarily by policemen

Other synonyms of billy club include baton, billy, nightstick, truncheon.

billy club (noun)	billystick (noun)
a short stout club used primarily by policemen	a short stout club used primarily by policemen